Factorisation Formula
a2 – b2 = (a–b) (a+b) a2 + 2ab + b2 = (a+b) 2 a2 – 2ab + b2 = (a–b) 2 a3 + b3 = (a+b) ( a2 –ab + b2 ) a3 – b3 = (a–b) ( a2…
Category Maths
Read MoreFactorisation Formula
Laws of Exponents
Math Exponent Rules Math Exponent Rules Rule Mathematical Expression Example Product of Powers \[ a^m \times a^n = a^{m+n} \] \[ 2^1 \times 2^2 = 2^3 \] Power of a Product \[ (a \times b)^m = a^m \times b^m \]…
Height and Distance Formulas
Scenario Formula Description Height using Angle of Elevation h = d × tan θ Height (h) = Distance (d) × tan(θ). Distance using Angle of Elevation d = h tanθ Distance (d) = Height (h) ÷ tan(θ). Height using Angle…
Trigonometry Angle Value Table
Trigonometric Angle Value Table Angle (θ) sin(θ) cos(θ) tan(θ) csc(θ) sec(θ) cot(θ) 0° 0 1 0 ∞ 1 ∞ 30° 12 32 13 2 23 3 45° 22 22 1 2 2 1 60° 32 12 3 23 2 13…
Trigonometric Function Formulas
Trigonometric Function Formulas Function Formula Explanation Sin(θ) sin θ = Opposite Hypotenuse Opposite side to hypotenuse. Cos(θ) cos θ = Adjacent Hypotenuse Adjacent side to hypotenuse. Tan(θ) tan θ = Opposite Adjacent Opposite side to adjacent. Csc(θ) csc θ =…
Sphere Formulas
Sphere Formulas 1. Surface Area of a Sphere Surface Area = 4 π r 2 Total surface area of the sphere. 2. Volume of a Sphere Volume = 4 π r 3 3 Space enclosed by the sphere. 3. Surface…
Cylinder Formulas
Cylinder Formulas 1. Surface Area of a Cylinder Surface Area = 2 π r × h + 2 π r 2 Sum of lateral area and area of two circular bases. 2. Volume of a Cylinder Volume = π r…
Cone Formulas
Cone Formulas 1. Lateral Surface Area Lateral Surface Area = π r l Curved area excluding the base. 2. Total Surface Area Total Surface Area = π r ( r + l ) Sum of base area and lateral surface…
Cuboid Formulas
Cuboid Formulas 1. Surface Area Surface Area = 2 × ( lw + lh + wh ) Sum of twice the areas of distinct faces. 2. Volume Volume = l × w × h Product of length, width, and height.…
Cube Formulas
Cube Formulas 1. Surface Area of Cube Formula Surface Area = 6 × s 2 6 times the square of the side length. 2. Volume of Cube Formula Volume = s 3 Cube of the side length. 3. Diagonal of…